Complex Wave Surfaces to the Extended Shallow Water Wave Model with (2+1)-dimensional

Document Type : Research Paper


1 Harran University, Faculty of Education, Sanliurfa, Turkey.

2 Van Yuzuncu Yil University, Faculty of Science, Van, Turkey.


In this paper, we apply an analytical method, namely, the sine-Gordon expansion method and extract some complex optical soliton solutions to the (2+1)-dimensional extended shallow water wave model, which describes the evolution of shallow water wave propagation. We obtain some complex mixed-dark and bright soliton solutions to this nonlinear model. Considering some suitable values of parameters, we plot the various dimensional simulations of every results found in this manuscript. We observe that our result may be useful in detecting some complex waves behaviors.


Volume 8, Issue 3
August 2020
Pages 585-596
  • Receive Date: 06 January 2019
  • Revise Date: 13 May 2019
  • Accept Date: 15 June 2019
  • First Publish Date: 01 August 2020